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Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
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The protons in unsubstituted alkanes are strongly shielded with chemical shifts below 1.8 ppm. Methine, methylene, and methyl protons appear at approximately 1.7, 1.2 and 0.7 ppm, while the proton signal from methane appears at 0.23 ppm. An electronegative substituent, such as chlorine, withdraws the electron density from the protons, increasing their chemical shift. Progressive substitution of the hydrogens in methane by chlorine shifts the proton signals increasingly downfield, to 3.05 ppm in...
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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
10:39

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Published on: October 11, 2016

Coherence effects in Mie scattering.

David G Fischer1, Thomas van Dijk, Taco D Visser

  • 1Research and Technology Directorate, NASA Glenn Research Center, Cleveland, Ohio 44135, USA. dgfischer@nasa.gov

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|January 6, 2012
PubMed
Summary
This summary is machine-generated.

We analyzed how partially coherent light scatters off spheres. The study found that scattered light intensity and far-field energy distribution depend on beam coherence, unlike extinguished power.

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Area of Science:

  • Optics and Photonics
  • Electromagnetic Theory
  • Wave Scattering

Background:

  • Partially coherent beams are crucial in various optical applications.
  • Understanding light scattering by particles is fundamental in physics.
  • Mie scattering theory describes light interaction with spherical particles.

Purpose of the Study:

  • To analyze Mie scattering of a Gaussian Schell-model beam from a spherical scatterer.
  • To derive expressions for extinguished power, radiant intensity, and encircled energy.
  • To investigate the influence of beam coherence on scattering characteristics.

Main Methods:

  • Theoretical analysis of electromagnetic wave scattering.
  • Application of Mie scattering theory for spherical particles.
  • Formulation of mathematical expressions for scattering parameters.

Main Results:

  • Derived expressions for extinguished power, radiant intensity, and encircled energy.
  • Demonstrated that radiant intensity is dependent on the incident beam's degree of coherence.
  • Showed that encircled energy in the far field is also influenced by beam coherence.

Conclusions:

  • The degree of coherence of a Gaussian Schell-model beam significantly affects its far-field scattering properties.
  • Extinguished power remains independent of the incident beam's coherence.
  • This research provides insights into the behavior of partially coherent light in scattering scenarios.